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Initial Counting

Initial Counting

Initial Counting

ItOnlyTakes1.org

Discovery 0-4

Practice

subitizing

ItOnlyTakes1.org

Discovery 0-4

Practice

subitizing

Starting with the baseline, this flash

program leads you from one digit, two

digit, two digit in various bases, then

three digit (color) in many bases.

When determining a

2-digit subQuan, first

count or subitize the

containers then the

ones.

When determining a

2-digit subQuan, first

count or subitize the

containers then the

ones.

Here we have 4 full

containers (segs) and

3 left over ones. This

is written as:

43 b7

Remember, this is not a

quantity.

Color

denotes

positives and

negatives

3-digit subQuan in 2D

3-digit subQuan in 3D

4-digit subQuan in 2D

4-digit subQuan in 3D

4-digit subQuan

in 2D & 3D

visually

represents

numbers.

Base-A(ten)

represents

quantity and

subQuan

simultaneously.

The ability of

camera

movement

facilitates rapid

recognition.

Identical quantities do not make

identical subQuans: 987 bA(ten)

sQ: 1316 b9; 1733 b8; 2610 b7

Identical subQuans do not

make identical quantities:

sQ 5413 bA (metapattern)

Quantities:

5,413; 3,981; 2,827; 1,921

SubQuan in the physical educational environment

Initial Results

By the end of all the first

sessions, 5 out of 9 children

could recognize and label 4-

digit subQuans accurately in

an immersive environment

(56%).

Q148%Q2

37%

Q315% On the follow-up questions,

85% of the children were able

to name the subQuan with

only one or two phrases of

the question.

Follow-up Results

Q148%Q2

37%

Q315% On the follow-up questions,

85% of the children were able

to name the subQuan with

only one or two phrases of

the question.

Follow-up Results

• Inconclusive: one child from each group noticeably grasped subQuanning.

• Most fluidity was found in Group 5: P-I-V.

• Physical environment found to be most difficult.

• Immersive environment found to be the most interesting.

• Virtual environment found to be the easiest.

Differentiation Between Media

Survey Results

Responses when asked

which environment was their favorite.

•Right-hand

• Combining

•SL discovery stations

• Zeros table

• Compliments

• Normalization

• Differences

• Pascal’s Triangle

More to come:

An sQ Tale

Up next:

1. 5th/6th grade research

2. Online high school

math research

Contacts